Multistep hybrid viscosity method for split monotone variational inclusion and fixed point problems in Hilbert spaces
Jamilu Abubakar, Poom Kumam, Jitsupa Deepho · AIMS Mathematics · 2020
In this paper, we present a multi-step hybrid iterative method. It is proven that under appropriate assumptions, the proposed iterative method converges strongly to a common element of fixed point of a finite family of nonexpansive mappings, the solution set of split monotone variational inclusion problem and the solution set of triple hierarchical variational inequality problem (THVI) in real Hilbert spaces. In addition, we give a numerical example of a triple hierarchical system derived from our generalization.